The more India keeps voluntarily screwing up Delhi-Moscow relations in favor of greater Delhi-Washington relations, the further Russia will side with China.
Because otherwise, who else can Russia rely with? Europe and North America have long became the arch nemesis of Russia, and regions elsewhere just don't have the necessary volume and weight to support and back Russia, which is getting ever more cornered by the West - Other than the you-know-who.
Remember that ever since the Sino-Soviet Split, the USSR (and later on Russia) has always desired India to be a counterweight in mainland Asia against China, which has been seen by Moscow as posing an significant threat towards the Russian Far East that has been forcefully taken over from the Qing Dynasty in the late 19th-century.
If India voluntarily wants to screw up that relations with Russia and instead decided that they want to become a counterweight against China on behalf of the West, China should capitalize on this opportunity and make Russia ever more cooperative with China for economic and security reasons.
On the flipside, Beijing would also very much desire a China-friendly Moscow, as this is crucial for securing China's northern frontier against foreign infiltrations and invasions.
Other than the historic Great Wall, the Third Front Project (which I highly encourage everyone to take a read) very much illustrated the anxiety and concern of the Chinese leadership throughout Mao's era of the 1960s and 1970s regarding a potential Soviet invasion of China from the north (through the Russian Far East and Mongolian SSR) and also the west (through the Central Asian SSRs). If the vast territories north of the Chinese-Russian and Mongolian-Russian borders are held in friendly hands, then China can dedicate more of her attention and focus towards frontiers that are more demanding and more critical towards national security (i.e. Pacific and Himalayas).
